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Design and Analysis of Algorithms An algorithm is made up of two independent time complexities f(n) and g(n). Then the complexities of the algorithm is in the order of (i) f(n) \times g(n) (ii) \max \{ f(n), g(n) \} (iii) \min \{ f(n), g(n) \} (iv) f(n) + g(n)20222mDiscrete MathematicsLet f(x) = x+2, g(x) = x-2, h(x) = 3x find (i) f \circ g (ii) f \circ g \circ h20237mDesign & Analysis of AlgorithmsAn algorithm is made up of two independent time complexities f(n) and g(n). Then the complexity of the algorithm is in order of: - (i) f(n) \times g(n) - (ii) \max(f(n), g(n)) - (iii) \min(f(n), g(n)) - (iv) f(n) + g(n)20232mDesign and Analysis of Algorithms Solve the following recurrence by successive substitution method: f(1) = 1 \quad \text{if } n=1 f(n) = 3f(n/2) + 6 \quad \text{if } n > 120227m
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